Graph forms
for C4 [ 264, 25 ] = SDD(C_66(1,23))
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On this page are computer-accessible forms for the graph C4[ 264, 25 ] =
SDD(C_66(1,23)).
(I) Following is a form readable by MAGMA:
g:=Graph<264|{ {131, 135}, {131, 134}, {131, 133}, {129, 137}, {130, 139}, {131,
138}, {132, 142}, {132, 136}, {129, 147}, {128, 152}, {132, 156}, {129, 172},
{130, 173}, {132, 176}, {130, 190}, {128, 218}, {129, 222}, {130, 224}, {128,
243}, {38, 166}, {91, 219}, {17, 144}, {50, 179}, {42, 171}, {40, 169}, {23,
150}, {65, 192}, {67, 194}, {80, 209}, {81, 208}, {92, 221}, {4, 134}, {100,
230}, {15, 141}, {14, 140}, {11, 137}, {5, 135}, {68, 198}, {69, 199}, {18,
145}, {100, 231}, {47, 172}, {46, 173}, {41, 170}, {63, 188}, {66, 193}, {70,
197}, {1, 133}, {93, 217}, {37, 160}, {61, 184}, {62, 187}, {90, 223}, {1, 135},
{115, 245}, {114, 244}, {13, 139}, {12, 138}, {1, 134}, {114, 245}, {53, 178},
{8, 143}, {2, 133}, {59, 188}, {91, 220}, {3, 139}, {31, 151}, {6, 142}, {87,
223}, {7, 142}, {101, 236}, {29, 148}, {75, 194}, {24, 146}, {59, 177}, {1,
138}, {106, 225}, {99, 232}, {30, 149}, {3, 136}, {2, 137}, {60, 183}, {77,
198}, {19, 159}, {107, 231}, {103, 235}, {94, 210}, {70, 202}, {69, 200}, {109,
224}, {105, 228}, {2, 140}, {98, 236}, {6, 136}, {3, 141}, {78, 192}, {39, 168},
{53, 186}, {59, 171}, {122, 234}, {121, 233}, {107, 251}, {7, 150}, {9, 152},
{73, 216}, {76, 221}, {15, 157}, {64, 210}, {81, 195}, {82, 192}, {10, 153},
{110, 253}, {51, 160}, {39, 180}, {74, 217}, {14, 154}, {104, 252}, {71, 211},
{80, 196}, {58, 175}, {118, 227}, {83, 198}, {2, 148}, {121, 239}, {97, 247},
{38, 176}, {9, 159}, {8, 158}, {5, 147}, {4, 146}, {3, 149}, {57, 174}, {120,
239}, {105, 254}, {75, 220}, {11, 147}, {124, 228}, {99, 251}, {46, 182}, {33,
185}, {9, 144}, {119, 238}, {106, 243}, {97, 248}, {6, 156}, {98, 248}, {7,
157}, {10, 145}, {53, 169}, {35, 190}, {98, 255}, {4, 154}, {5, 155}, {8, 151},
{104, 247}, {99, 252}, {34, 189}, {16, 143}, {67, 220}, {72, 215}, {13, 173},
{95, 255}, {28, 188}, {27, 187}, {26, 186}, {25, 185}, {24, 184}, {23, 183},
{22, 182}, {21, 181}, {20, 180}, {74, 234}, {27, 186}, {73, 232}, {7, 165},
{120, 218}, {16, 179}, {54, 149}, {64, 227}, {66, 225}, {71, 228}, {79, 235},
{104, 204}, {75, 238}, {76, 233}, {88, 253}, {68, 226}, {92, 250}, {11, 172},
{26, 178}, {103, 207}, {102, 206}, {100, 204}, {77, 229}, {96, 201}, {122, 211},
{4, 174}, {52, 158}, {31, 181}, {10, 160}, {5, 175}, {91, 241}, {12, 167}, {121,
210}, {106, 193}, {56, 148}, {97, 205}, {94, 242}, {93, 241}, {9, 164}, {28,
177}, {67, 238}, {83, 254}, {89, 244}, {88, 246}, {119, 217}, {101, 203}, {72,
231}, {89, 246}, {82, 226}, {110, 222}, {12, 189}, {127, 206}, {126, 207}, {27,
170}, {25, 168}, {23, 166}, {21, 164}, {18, 163}, {16, 161}, {14, 191}, {65,
240}, {66, 243}, {83, 226}, {16, 162}, {101, 215}, {100, 214}, {95, 237}, {19,
161}, {64, 242}, {73, 251}, {75, 249}, {13, 190}, {108, 223}, {103, 212}, {102,
213}, {26, 169}, {22, 165}, {17, 162}, {72, 251}, {73, 252}, {79, 250}, {84,
225}, {92, 233}, {6, 176}, {76, 250}, {20, 163}, {118, 193}, {93, 234}, {28,
171}, {78, 249}, {10, 178}, {33, 153}, {32, 152}, {65, 249}, {8, 177}, {34,
155}, {71, 254}, {36, 158}, {105, 211}, {67, 249}, {68, 254}, {74, 241}, {99,
216}, {107, 215}, {94, 227}, {78, 240}, {124, 194}, {91, 229}, {24, 167}, {35,
156}, {29, 221}, {61, 253}, {63, 255}, {62, 255}, {86, 151}, {104, 170}, {19,
208}, {57, 250}, {40, 236}, {47, 235}, {85, 145}, {20, 209}, {45, 232}, {31,
218}, {30, 219}, {54, 240}, {126, 184}, {55, 241}, {62, 248}, {58, 253}, {86,
158}, {127, 183}, {29, 212}, {36, 237}, {44, 230}, {121, 179}, {111, 165}, {97,
171}, {96, 170}, {56, 242}, {30, 213}, {103, 172}, {102, 173}, {44, 231}, {58,
246}, {101, 169}, {85, 153}, {39, 234}, {120, 181}, {115, 190}, {43, 230}, {81,
159}, {125, 179}, {122, 180}, {119, 185}, {84, 154}, {15, 192}, {114, 189}, {33,
238}, {82, 157}, {17, 193}, {102, 182}, {38, 246}, {22, 198}, {21, 197}, {20,
196}, {19, 195}, {18, 194}, {25, 200}, {26, 200}, {122, 168}, {57, 235}, {55,
229}, {42, 248}, {38, 244}, {27, 201}, {62, 236}, {63, 237}, {12, 223}, {32,
243}, {118, 162}, {11, 222}, {41, 252}, {28, 202}, {110, 184}, {35, 245}, {34,
244}, {24, 207}, {49, 230}, {34, 245}, {48, 232}, {84, 140}, {23, 206}, {127,
166}, {126, 167}, {98, 187}, {52, 237}, {86, 143}, {96, 186}, {109, 183}, {50,
233}, {96, 187}, {60, 224}, {125, 161}, {42, 247}, {50, 239}, {87, 138}, {25,
199}, {113, 175}, {112, 174}, {41, 247}, {21, 202}, {125, 162}, {124, 163},
{123, 164}, {82, 141}, {43, 203}, {50, 210}, {49, 209}, {48, 208}, {47, 207},
{46, 206}, {45, 205}, {44, 204}, {37, 196}, {117, 148}, {116, 149}, {111, 142},
{94, 191}, {79, 174}, {70, 164}, {113, 147}, {112, 146}, {40, 203}, {123, 152},
{95, 188}, {54, 213}, {61, 222}, {80, 180}, {123, 159}, {41, 204}, {56, 221},
{51, 214}, {118, 144}, {36, 195}, {42, 205}, {85, 178}, {86, 177}, {45, 197},
{77, 165}, {89, 176}, {127, 150}, {114, 155}, {87, 189}, {113, 155}, {112, 154},
{55, 220}, {123, 144}, {84, 191}, {37, 201}, {126, 146}, {56, 212}, {55, 219},
{52, 216}, {43, 199}, {13, 224}, {124, 145}, {54, 219}, {15, 226}, {69, 168},
{30, 240}, {119, 153}, {14, 225}, {120, 151}, {115, 156}, {29, 242}, {31, 239},
{117, 133}, {81, 161}, {87, 167}, {59, 202}, {17, 227}, {125, 143}, {111, 157},
{22, 229}, {37, 214}, {70, 181}, {80, 163}, {39, 211}, {48, 197}, {85, 160},
{18, 228}, {113, 135}, {112, 134}, {49, 199}, {51, 196}, {52, 195}, {88, 175},
{33, 217}, {111, 150}, {117, 140}, {116, 141}, {32, 218}, {51, 201}, {49, 203},
{44, 214}, {43, 209}, {46, 213}, {47, 212}, {77, 182}, {36, 216}, {117, 137},
{116, 136}, {69, 185}, {45, 208}, {53, 200}, {48, 205}, {40, 215}, {116, 139},
{64, 191}, {89, 166}, {35, 259}, {32, 258}, {60, 264}, {58, 257}, {61, 262},
{57, 261}, {60, 257}, {63, 256}, {68, 263}, {71, 260}, {65, 260}, {66, 261},
{72, 256}, {78, 260}, {79, 261}, {74, 263}, {76, 258}, {90, 264}, {83, 263},
{88, 257}, {90, 259}, {93, 263}, {90, 262}, {92, 258}, {95, 256}, {108, 264},
{109, 264}, {110, 262}, {108, 262}, {107, 256}, {109, 257}, {105, 260}, {106,
261}, {108, 259}, {115, 259}, {128, 258} }>;
(II) A more general form is to represent the graph as the orbit of {131, 135}
under the group generated by the following permutations:
a: (57, 79) (III) Last is Groups&Graphs. Copy everything between (not including)
the lines of asterisks into a plain text file and save it as "graph.txt". Then
launch G&G (Groups&Graphs) and select Read Text from the File menu.
**************
&Graph **************
b: (18, 124)
c: (7, 111)
d: (31, 120)
e: (72, 107)
f: (33, 119)
g: (62, 98)
h: (1, 2, 29, 76, 32, 9, 19, 36, 63, 62, 27, 37, 20, 39, 74, 55, 30, 3, 6, 38,
58, 61, 24, 4, 14, 64, 50, 31, 21, 45, 73, 72, 40, 26, 10, 18, 71, 68, 22, 46,
13, 35, 34, 5, 11, 47, 57, 66, 17, 16, 8, 28, 42, 41, 44, 43, 25, 33, 67, 65,
15, 7, 23, 60, 90, 12)(48, 99, 107, 101, 53, 85, 124, 105, 83, 77, 102, 130,
115, 114, 113, 129, 103, 79, 106, 118, 125, 86, 59, 97, 104, 100, 49, 69, 119,
75, 78, 82, 111, 127, 109, 108, 87, 131, 117, 56, 92, 128, 123, 81, 52, 95, 98,
96, 51, 80, 122, 93, 91, 54, 116, 132, 89, 88, 110, 126, 112, 84, 94, 121, 120,
70)(133, 148, 221, 258, 152, 159, 195, 237, 255, 187, 201, 196, 180, 234, 241,
219, 149, 136, 176, 246, 253, 184, 146, 154, 191, 210, 239, 181, 197, 232, 251,
215, 169, 178, 145, 228, 254, 198, 182, 173, 190, 245, 155, 147, 172, 235, 261,
193, 162, 143, 177, 171, 247, 204, 230, 199, 185, 238, 249, 192, 157, 150, 183,
264, 223, 138)(134, 140, 242, 233, 218, 164, 208, 216, 256, 236, 186, 160, 163,
211, 263, 229, 213, 139, 156, 244, 175, 222, 207, 174, 225, 227, 179, 151, 202,
205, 252, 231, 203, 200, 153, 194, 260, 226, 165, 206, 224, 259, 189, 135, 137,
212, 250, 243, 144, 161, 158, 188, 248, 170, 214, 209, 168, 217, 220, 240, 141,
142, 166, 257, 262, 167)
m: (64, 94)
n1: (45, 48)
a1: (34, 114)
b1: (38, 89)
c1: (37, 51)
d1: (21, 70)
e1: (15, 82)
f1: (29, 56)
g1: (5, 113)
h1: (55, 91)
m1: (14, 84)
n2: (90, 108)
a2: (8, 86)
b2: (26, 53)
c2: (4, 112)
d2: (71, 105)
e2: (9, 123)
f2: (40, 101)
g2: (20, 80)
h2: (6, 132)
m2: (13, 130)
n3: (74, 93)
a3: (47, 103)
b3: (41, 104)
c3: (46, 102)
d3: (3, 116)
e3: (11, 129)
f3: (2, 117)
g3: (32, 128)
h3: (63, 95)
m3: (36, 52)
n4: (66, 106)
a4: (50, 121)
b4: (76, 92)
c4: (28, 59)
d4: (58, 88)
e4: (42, 97)
f4: (17, 118)
g4: (67, 75)
h4: (60, 109)
m4: (68, 83)
n5: (25, 69)
a5: (2, 5)(3, 9)(4, 12)(6, 17)(7, 16)(8, 22)(10, 27)(13, 32)(14, 34)(15, 19)(18,
41)(20, 44)(21, 30)(23, 50)(25, 40)(28, 55)(29, 58)(31, 46)(33, 62)(35, 66)(36,
68)(38, 64)(39, 72)(42, 67)(45, 65)(47, 61)(48, 78)(52, 83)(54, 70)(56, 88)(57,
90)(59, 91)(60, 76)(63, 74)(69, 101)(71, 73)(75, 97)(77, 86)(79, 108)(80,
100)(81, 82)(84, 114)(85, 96)(87, 112)(89, 94)(92, 109)(93, 95)(98, 119)(99,
105)(102, 120)(103, 110)(104, 124)(106, 115)(107, 122)(111, 125)(113, 117)(116,
123)(118, 132)(121, 127)(128, 130)(133, 135)(134, 138)(136, 144)(137, 147)(139,
152)(140, 155)(141, 159)(142, 162)(143, 165)(145, 170)(146, 167)(148, 175)(149,
164)(150, 179)(151, 182)(153, 187)(154, 189)(156, 193)(157, 161)(158, 198)(160,
201)(163, 204)(166, 210)(168, 215)(169, 200)(171, 220)(172, 222)(173, 218)(174,
223)(176, 227)(177, 229)(178, 186)(180, 231)(181, 213)(183, 233)(184, 207)(185,
236)(188, 241)(190, 243)(191, 244)(192, 208)(194, 247)(195, 226)(196, 214)(197,
240)(199, 203)(202, 219)(205, 249)(206, 239)(209, 230)(211, 251)(212, 253)(216,
254)(217, 255)(221, 257)(224, 258)(225, 245)(228, 252)(232, 260)(234, 256)(235,
262)(237, 263)(238, 248)(242, 246)(250, 264)(259, 261)
b5: (65, 78)
c5: (16, 125)
d5: (27, 96)
e5: (24, 126)
f5: (43, 49)
g5: (2, 4)(3, 7)(5, 12)(8, 21)(9, 16)(10, 25)(11, 24)(13, 23)(18, 39)(22,
30)(27, 40)(29, 57)(32, 50)(35, 38)(36, 45)(37, 43)(41, 72)(42, 63)(48, 52)(49,
51)(54, 77)(56, 79)(58, 90)(64, 66)(65, 68)(67, 74)(69, 85)(70, 86)(75, 93)(78,
83)(87, 113)(88, 108)(89, 115)(94, 106)(95, 97)(96, 101)(104, 107)(111,
116)(112, 117)(121, 128)(122, 124)(123, 125)(126, 129)(127, 130)(133, 134)(135,
138)(136, 142)(137, 146)(139, 150)(140, 154)(141, 157)(143, 164)(144, 162)(145,
168)(147, 167)(148, 174)(149, 165)(151, 181)(152, 179)(153, 185)(155, 189)(156,
176)(158, 197)(159, 161)(160, 199)(163, 180)(166, 190)(169, 186)(170, 215)(171,
188)(172, 207)(173, 206)(175, 223)(177, 202)(178, 200)(182, 213)(183, 224)(184,
222)(187, 236)(191, 225)(192, 226)(193, 227)(194, 234)(195, 208)(196, 209)(198,
240)(201, 203)(204, 231)(205, 237)(210, 243)(211, 228)(212, 235)(214, 230)(216,
232)(217, 238)(218, 239)(219, 229)(220, 241)(221, 250)(233, 258)(242, 261)(244,
245)(246, 259)(247, 256)(248, 255)(249, 263)(251, 252)(253, 262)(254, 260)(257,
264)
h5: (61, 110)
m5: (39, 122)
n6: (22, 77)
a6: (73, 99)
b6: (44, 100)
c6: (23, 127)
d6: (12, 87)
e6: (30, 54)
f6: (35, 115)
g6: (19, 81)
C4[ 264, 25 ]
264
-1 133 134 135 138
-2 133 137 148 140
-3 136 149 139 141
-4 154 134 146 174
-5 155 135 147 175
-6 176 156 136 142
-7 165 157 150 142
-8 143 177 158 151
-9 144 159 152 164
-10 145 178 160 153
-11 222 147 137 172
-12 167 189 223 138
-13 190 224 139 173
-14 154 191 225 140
-15 157 192 226 141
-16 143 179 161 162
-17 144 193 227 162
-18 145 194 228 163
-19 159 161 195 208
-20 209 180 163 196
-21 202 181 164 197
-22 165 198 182 229
-23 166 150 183 206
-24 167 146 184 207
-25 199 200 168 185
-26 178 200 169 186
-27 187 201 170 186
-28 177 188 202 171
-29 242 221 212 148
-30 213 149 240 219
-31 181 151 239 218
-32 243 258 152 218
-33 238 217 185 153
-34 155 189 244 245
-35 156 190 245 259
-36 158 237 216 195
-37 201 214 160 196
-38 176 166 244 246
-39 211 168 234 180
-40 169 203 236 215
-41 170 247 204 252
-42 247 171 248 205
-43 209 199 203 230
-44 231 214 204 230
-45 232 205 197 208
-46 213 182 173 206
-47 212 235 172 207
-48 232 205 197 208
-49 209 199 203 230
-50 210 233 179 239
-51 201 214 160 196
-52 158 237 216 195
-53 178 200 169 186
-54 213 149 240 219
-55 220 229 219 241
-56 242 221 212 148
-57 235 250 261 174
-58 253 246 257 175
-59 177 188 202 171
-60 264 224 257 183
-61 253 222 184 262
-62 187 255 236 248
-63 188 255 256 237
-64 242 210 191 227
-65 192 249 260 240
-66 243 225 193 261
-67 220 194 238 249
-68 198 254 226 263
-69 199 200 168 185
-70 202 181 164 197
-71 254 211 260 228
-72 231 256 215 251
-73 232 216 251 252
-74 234 217 241 263
-75 220 194 238 249
-76 221 233 258 250
-77 165 198 182 229
-78 192 249 260 240
-79 235 250 261 174
-80 209 180 163 196
-81 159 161 195 208
-82 157 192 226 141
-83 198 254 226 263
-84 154 191 225 140
-85 145 178 160 153
-86 143 177 158 151
-87 167 189 223 138
-88 253 246 257 175
-89 176 166 244 246
-90 264 223 259 262
-91 220 229 219 241
-92 221 233 258 250
-93 234 217 241 263
-94 242 210 191 227
-95 188 255 256 237
-96 187 201 170 186
-97 247 171 248 205
-98 187 255 236 248
-99 232 216 251 252
-100 231 214 204 230
-101 169 203 236 215
-102 213 182 173 206
-103 212 235 172 207
-104 170 247 204 252
-105 254 211 260 228
-106 243 225 193 261
-107 231 256 215 251
-108 264 223 259 262
-109 264 224 257 183
-110 253 222 184 262
-111 165 157 150 142
-112 154 134 146 174
-113 155 135 147 175
-114 155 189 244 245
-115 156 190 245 259
-116 136 149 139 141
-117 133 137 148 140
-118 144 193 227 162
-119 238 217 185 153
-120 181 151 239 218
-121 210 233 179 239
-122 211 168 234 180
-123 144 159 152 164
-124 145 194 228 163
-125 143 179 161 162
-126 167 146 184 207
-127 166 150 183 206
-128 243 258 152 218
-129 222 147 137 172
-130 190 224 139 173
-131 133 134 135 138
-132 176 156 136 142
-133 1 2 117 131
-134 1 112 4 131
-135 1 113 5 131
-136 132 3 6 116
-137 11 2 117 129
-138 1 12 87 131
-139 13 3 116 130
-140 2 14 84 117
-141 3 15 82 116
-142 132 111 6 7
-143 125 16 8 86
-144 123 17 118 9
-145 124 18 85 10
-146 24 112 4 126
-147 11 113 5 129
-148 56 2 29 117
-149 3 116 30 54
-150 23 111 127 7
-151 8 31 86 120
-152 123 128 9 32
-153 33 85 119 10
-154 112 14 4 84
-155 34 113 114 5
-156 132 35 115 6
-157 111 15 82 7
-158 36 8 52 86
-159 123 81 19 9
-160 37 51 85 10
-161 81 125 16 19
-162 125 16 17 118
-163 80 124 18 20
-164 123 70 9 21
-165 22 77 111 7
-166 23 89 38 127
-167 12 24 126 87
-168 122 25 69 39
-169 101 26 40 53
-170 27 104 41 96
-171 59 28 42 97
-172 11 47 103 129
-173 13 46 102 130
-174 57 79 112 4
-175 88 58 113 5
-176 132 89 38 6
-177 59 28 8 86
-178 26 85 53 10
-179 121 125 16 50
-180 122 80 39 20
-181 70 31 21 120
-182 22 77 46 102
-183 23 60 127 109
-184 110 24 126 61
-185 33 25 69 119
-186 26 27 96 53
-187 27 62 96 98
-188 59 28 95 63
-189 12 34 114 87
-190 13 35 115 130
-191 14 94 84 64
-192 78 15 82 65
-193 66 17 106 118
-194 67 124 18 75
-195 36 81 19 52
-196 80 37 51 20
-197 45 48 70 21
-198 22 77 68 83
-199 25 69 49 43
-200 25 69 26 53
-201 37 27 51 96
-202 59 70 28 21
-203 101 49 40 43
-204 44 100 104 41
-205 45 48 42 97
-206 23 46 102 127
-207 24 47 103 126
-208 45 48 81 19
-209 80 49 20 43
-210 121 50 94 64
-211 122 71 39 105
-212 56 47 103 29
-213 46 102 30 54
-214 44 100 37 51
-215 101 72 40 107
-216 99 36 73 52
-217 33 93 74 119
-218 128 31 32 120
-219 55 91 30 54
-220 55 67 91 75
-221 56 92 29 76
-222 11 110 61 129
-223 12 90 108 87
-224 13 60 130 109
-225 66 14 84 106
-226 68 15 82 83
-227 17 94 118 64
-228 124 71 105 18
-229 22 55 77 91
-230 44 100 49 43
-231 44 100 72 107
-232 99 45 48 73
-233 121 92 50 76
-234 122 93 39 74
-235 57 79 47 103
-236 101 40 62 98
-237 36 95 52 63
-238 33 67 75 119
-239 121 50 31 120
-240 78 30 54 65
-241 55 91 93 74
-242 56 94 29 64
-243 66 106 128 32
-244 34 89 114 38
-245 34 35 114 115
-246 88 89 58 38
-247 104 41 42 97
-248 62 42 97 98
-249 67 78 75 65
-250 57 79 92 76
-251 99 72 73 107
-252 99 104 73 41
-253 88 110 58 61
-254 68 71 83 105
-255 62 95 63 98
-256 72 95 63 107
-257 88 58 60 109
-258 92 128 32 76
-259 35 90 115 108
-260 78 71 105 65
-261 66 57 79 106
-262 110 90 61 108
-263 68 93 83 74
-264 90 60 108 109
0